LIST OF GENERIC ELECTIVES
S.NO. CODE
UHU006
1
TITLE
INTRODUCTORY COURSE IN FRENCH
L T P CR
3 0 0 3.0
2
UCS001
INTRODUCTION TO CYBER SECURITY
3
0
0
3.0
3
UHU007
EMPLOYABILITY DEVELOPMENT SKILLS
0
3
3
3.0
UEN004
3
0
0
3.0
3
0
0
3.0
5
UHU008
TECHNOLOGIES FOR SUSTAINABLE
DEVELOPMENT
INTRODUCTION TO CORPORATE FINANCE
6
UHU009
INTRODUCTION TO COGNITIVE SCIENCE
3
0
0
3.0
7
UPH063
NANO SCIENCE AND NANO-MATERIALS
3
0
0
3.0
8
UMA066 GRAPH THEORY AND APPLICATIONS
3
0
0
3.0
9
UMA061 ADVANCED NUMERICAL METHODS
3
0
0
3.0
10
UBT509
3
0
0
3.0
4
BIOLOGY FOR ENGINEERS
1|Page
UHU006 INTRODUCTORY COURSE IN FRENCH
L T P Cr
3 0 0 3.0
Course Objectives:
The objectives of the course is to introduce to the students:
1. The basics of French language to the students. It assumes that the students have minimal
or no prior knowledge of the language.
2. To help them acquire skills in writing and speaking in French, comprehending written and
spoken French.
3. The students are trained in order to introduce themselves and others, to carry out short
conversation, to ask for simple information, to understand and write short and simple
messages, to interact in a basic way.
4. The main focus of the students will be on real life language use, integration of French and
francophone culture, & basic phrases aimed at the satisfaction of needs of concrete type.
5. During class time the students are expected to engage in group & pair work.
Course Contents:
Communicative skills: Greetings and Its Usage, Asking for and giving personal information, How to
ask and answer questions, How to talk over the phone, Exchange simple information on preference,
feelings etc. Invite, accept, or refuse invitation, Fix an appointment, Describe the weather, Ask for/give
explanations, Describe a person, an object, an event, a place.
Grammar : Pronouns: Pronom sujets (Je/ Tu/Il/Elle/Nous/Vous/Ils/Elles), Nouns: Genders, Articles:
Definite article and Indefinite articles, Verbs: Regular verbs (-er, -irending) Irregularverbs (-reending),
Auxiliaryverbs (avoir, être, aller). Adjective: Description, Adjective possessive, Simple Negation,
Tense: Present, Future, Questions, Singular & plural.
Vocabulary: Countries and Nationalities, Professions, Numbers (ordinal, cardinal), Colours, Food and
drinks, Days of the week, Months, Family, Places.
Phonetics: The course develops the ability, to pronounce words, say sentences, questions and give
orders using the right accent and intonation. To express surprise, doubt, fear, and all positive or negative
feelings using the right intonation. To distinguish voiced and unvoiced consonants. To distinguish
between vowel sounds.
Course Learning Outcomes:
Upon the completion of the course:
1. The students begin to communicate in simple everyday situations acquiring basic
grammatical structure and vocabulary.
2. The course develops oral and reading comprehension skills as well as speaking and
writing.
3. Students can demonstrate understanding of simple information in a variety of authentic
materials such as posters, advertisement, signs etc.
4. Discuss different professions, courses and areas of specialisation.
5. Write simple messages, letters, composition and dialogues. Complete simple forms and
documents.
6. Express feelings, preferences, wishes and opinions and display basic awareness of
francophone studies.
2|Page
7. Units on pronunciation and spelling expose students to the different sounds in the French
language and how they are transcribed.
Recommended Books :
1. Alter ego-1 : Méthode de français by Annie Berthet, Catherine Hugot, Véronique M.
Kizirion, Beatrix Sampsonis, Monique Waendendries, Editions Hachette français langue
étrangère.
2. Connexions-1 : Méthode de français by Régine Mérieux, Yves Loiseau, Editions Didier
3. Version Originale-1: Méthode de français by Monique Denyer, AgustinGarmendia.
4. Marie-Laure Lions-Olivieri, Editions Maison des Langues, Paris 2009
5. Latitudes-1 : Méthode de français by Régine Mérieux, Yves Loiseau, Editions Didier
6. Campus-1 : Méthode de français by Jacky Girardet, Jacques Pécheur, Editions CLE
International.
7. Echo-1 : Méthode de français by J. Girardet, J. Pécheur, Editions CLE International.
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
3|Page
UCS001 INTRODUCTION TO CYBER SECURITY
L T P Cr
3 0 0 3.0
Course Objectives: In this course, the student will learn about the essential building blocks and basic
concepts around cyber security such as Confidentiality, Integrity, Availability, Authentication,
Authorization, Vulnerability, Threat and Risk and so on.
Introduction: Introduction to Computer Security, Threats, Harm, Vulnerabilities, Controls,
Authentication, Access Control, and Cryptography, Authentication, Access Control, Cryptography
Programs and Programming: Unintentional (Non-malicious) Programming Oversights, Malicious
Code—Malware, Countermeasures
Web Security: User Side, Browser Attacks, Web Attacks Targeting Users, Obtaining User or Website
Data, Email Attacks
Operating Systems Security: Security in Operating Systems, Security in the Design of Operating
Systems, Rootkit
Network Security: Network Concepts, Threats to Network Communications, Wireless Network
Security, Denial of Service, Distributed Denial-of-Service Strategic Defenses: Security
Countermeasures, Cryptography in Network Security, Firewalls, Intrusion Detection and Prevention
Systems, Network Management
Cloud Computing and Security: Cloud Computing Concepts, Moving to the Cloud, Cloud Security
Tools and Techniques, Cloud Identity Management, Securing IaaS
Privacy: Privacy Concepts, Privacy Principles and Policies, Authentication and Privacy, Data Mining,
Privacy on the Web, Email Security, Privacy Impacts of Emerging Technologies, Where the Field Is
Headed
Management and Incidents: Security Planning, Business Continuity Planning, Handling Incidents,
Risk Analysis, Dealing with Disaster
Legal Issues and Ethics: Protecting Programs and Data, Information and the Law, Rights of
Employees and Employers, Redress for Software Failures, Computer Crime, Ethical Issues in Computer
Security, Incident Analysis with Ethics
Emerging Topics: The Internet of Things, Economics, Computerized Elections, Cyber Warfare.
Course Learning Outcomes:
After completion of this course, the students will be able to:
1. Understand the broad set of technical, social & political aspects of Cyber Security and
security management methods to maintain security protection
2. Appreciate the vulnerabilities and threats posed by criminals, terrorist and nation states to
national infrastructure
3. Understand the nature of secure software development and operating systems
4. Recognize the role security management plays in cyber security defense and legal and
social issues at play in developing solutions.
Recommended Books:
1. Pfleeger, C.P., Security in Computing, Prentice Hall, 5th edition (2010)
2. Schneier, B., Applied Cryptography, Second Edition, John Wiley & Sons(1996)
4|Page
3. Rhodes-Ousley, M., Information Security: The Complete Reference, Second Edition, Information
Security Management: Concepts and Practice. New York, McGraw-Hill, (2013).
4. Whitman, M.E. and Herbert J. M., Roadmap to Information Security for IT and Infosec
Managers, Course Technology, Boston, MA (2011).
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
5|Page
UHU007 EMPLOYABILITY DEVELOPMENT SKILLS
L T P
Cr
0
3.0
3
3
Course Objectives:
This course aims to sensitize students with the gamut of skills which facilitate them to enhance their
employability quotient and do well in the professional space. These skills are imperative for students to
establish a stronger connect with the environment in which they operate. An understanding of these
skills will enable students to manage the placement challenges more effectively.
Course Contents:
Emotional Intelligence: Understanding Emotional Intelligence (EI); Daniel Goleman’s EI Model: Self
Awareness, Self-Regulation, Internal Motivation, Empathy, Social Skills; Application of EI during
Group Discussions & Personal Interview; Application of EI in personal life, student life and at the
workplace
Team Dynamics & Leadership: Understanding the challenges of working within a team format in
today’s complex organizational environments; Stages of team formation; Appreciating forces that
influence the direction of a team's behaviour and performance; Cross-functional teams; Conflict in
Teams- leveraging differences to create opportunity Leadership in the team setting & energizing team
efforts; Situational leadership; Application of team dynamics & collaboration in Group Discussions;
Application of team dynamics at the workplace
Complex Problem Solving: Identifying complex problems and reviewing related information to
develop and evaluate options and implement solutions; Understanding a working model for complex
problem solving - framing the problem, diagnosing the problem, identifying solutions & executing the
solutions; Appreciation of complex problem solving at the workplace through case studies
Lateral Thinking: Understanding lateral thinking &appreciating the difference between vertical &
lateral thinking, and between convergent & divergent thinking; Understanding brain storming & mindmaps; Solving of problems by an indirect and creative approach, typically through viewing the problem
in a new and unusual light; Application of lateral thinking during Group Discussions & Personal
Interviews; Application of lateral thinking at the workplace
Persuasion: Role of persuasion in communication; Application of ethos-pathos-logos; Using
persuasive strategies to connect with individuals & teams to create competitive advantage
Quantitative Reasoning: Thinking critically and applying basic mathematics skills to interpret data,
draw conclusions, and solve problems; developing proficiency in numerical reasoning; Application of
quantitative reasoning in aptitude tests
Verbal Reasoning: Understanding and reasoning using concepts framed in words; Critical verbal
reasoning; Reading Comprehension; Application of verbal reasoning in aptitude tests
Group Discussion (GD): Illustrating the do’s and don’ts in Group Discussions; Specific thrust on types
of GD topics; GD evaluation parameters; Understanding the challenge in a case discussion; SPACER
model
Personal Interview (PI Interview do’s and don’ts; PI evaluation parameters; The art of introduction;
Managing bouncer questions; Leading the panel in a PI
Course Learning Outcomes (CLOs): The students will be able to
1. appreciate the various skills required for professional & personal success.
6|Page
2. bridge the gap between current and expected performance benchmarks.
3. competently manage the challenges related to campus placements and perform to their utmost
potential.
Recommended Books:
1. Harvard Business Essentials; Creating Teams with an Edge; Harvard Business School Press
(2004)
2. Edward de B., Six Thinking Hats; Penguin Life (2016)
3. Daniel, G., Working with Emotional Intelligence; Bantam Books (2000)
4. Aggarwal, R.S., Quantitative Aptitude for Competitive Examinations; S Chand (2017)
5. Agarwal, A., An expert guide to problem solving: with practical examples; CreateSpace
Independent Publishing Platform (2016)
6. William, D., The Logical Thinking process; American Society for Quality (2007)
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
7|Page
UEN004 TECHNOLOGIES FOR SUSTAINABLE DEVELOPMENT
L
T
3
0
P
0
Cr
3.0
Course Objectives: To provide acquaintance with modern cleaner production processes and emerging
energy technologies; and to facilitate understanding the need and application of green and renewable
technologies for sustainable development of the Industry/society
Course Contents:
Concepts of Sustainability and Industrial Processes: Industrialization and sustainable development;
Cleaner production (CP) in achieving sustainability; Source reduction techniques - Raw material
substitution; Process modification and equipment optimization; Product design or modification; Reuse
and recycling strategies; Resources and by-product recovery from wastes; Treatment and disposal;
CDM and Pollution prevention programs; Good housekeeping; CP audits,
Green Design: Green buildings - benefits and challenges; public policies and market-driven initiatives;
Effective green specifications; Energy efficient design; Passive solar design; Green power; Green
materials and Leadership in Energy and Environmental Design (LEED)
Renewable and Emerging Energy Technologies: Introduction to renewable energy technologiesSolar; wind; tidal; biomass; hydropower; geothermal energy technologies; Emerging concepts;
Biomolecules and energy; Fuel cells; Fourth generation energy systems,
Course Learning Outcomes (CLOs):
Upon completion of the course, the students will be able to:
1. comprehend basic concepts in source reduction, waste treatment and management
2. Identify and plan cleaner production flow charts/processes for specific industrial sectors
3. examine and evaluate present and future advancements in emerging and renewable energy
technologies
Recommended Books
1. Kirkwood, R,C, and Longley, A,J, (Eds,), Clean Technology and the Environment, Chapman &
Hall, London (1995),
2. World Bank Group; Pollution Prevention and Abatement Handbook – Towards Cleaner
Production, World Bank and UNEP; Washington DC (1998),
3. Modak, P,, Visvanathan, C, and Parasnis, M,, Cleaner Production Audit, Course Material on
Cleaner Production and Waste Minimization; United Nations Industrial Development
Organization (UNIDP) (1995),
4. Rao, S, and Parulekar, B,B,, Energy Technology: Non-conventional; Renewable and
Conventional; Khanna Pub,(2005) 3rd Ed,
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
8|Page
UHU008 INTRODUCTION TO CORPORATE FINANCE
L T P
Cr
3
3.0
0
0
Course Objective:
This course aims to provide the students with the fundamental concepts, principles and approaches of
corporate finance, enable the students to apply relevant principles and approaches in solving problems
of corporate finance and help the students improve their overall capacities.
Course Content:
Introduction to corporate finance: Finance and corporate finance. Forms of business organizations,
basic types of financial management decisions, the goal of financial management, the agency problem;
the role of the financial manager; basic types of financial management decisions.
Financial statements analysis:Balance sheet, income statement, cash flow, fund flow financial
statement analysis Computing and interpreting financial ratios; conducting trend analysis and Du Pont
analysis.
The time value of money: Time value of money, future value and compounding, present value and
discounting, uneven cash flow and annuity, discounted cash flow valuation.
Risk and return: Introduction to systematic and unsystematic risks, computation of risk and return,
security market line, capital asset pricing model.
Long-term financial planning & Financial Decisions:Various sources of long term financing, the
elements and role of financial planning, financial planning model, percentage of sales approach,
external financing needed. Cost of capital, financial leverage, operating leverage. Capital structure,
theories of capital structure net income, net operating income & M&M proposition I and II.
Short-term financial planning and management:Working capital, operating cycle, cash cycle, cash
budget, short-term financial policy, cash management, inventory management, credit management.
Capital budgeting : Concepts and procedures of capital budgeting, investment criteria (net present
value, payback, discounted payback, average accounting return, internal rate of return, profitability
index ), incremental cash flows, scenario analysis, sensitivity analysis, break-even analysis,
Dividend policy: Dividend, dividend policy, Various models of dividend policy ( Residual approach,
Walter model, Gordon Model, M&M, Determinants of dividend policy.
Security valuation: Bond features, bond valuation, bond yields, bond risks, stock features, common
stock valuation, and dividend discount & dividend growth models. Common stock yields, preferred
stock valuation.
Recommended Books:
1. Brealey, R. A., Myers. S.C., Allen, F.,Principles of Corporate Finance(9th edition), The
McGraw-Hill, London, (2006).
2. Ehrhardt, M.C., Brigham, E.F., Financial Management: Theory and Practice (10th
edition) South Western-Cengage, New York (2011)
3. Van Horne, J.C., Wachowicz, J.M., Kuhlemeyer, G.A., 2005, Fundamentals of Financial
Management, Pearson, Vancouver (2010)
4. Pandey, I. M., Financial management, Vikas Publishing House Pvt. Ltd., Noida (2011)
9|Page
5. Elton, E.J. andGruber, M.J., Modern Portfolio Theory and Investment Analysis, (7th
Edition), John Wiley and Sons, New York (2007)
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
10 | P a g e
UHU009 INTRODUCTION TO COGNITIVE SCIENCE
L T P Cr
3 0 0 3.0
Course Objectives: This course provides an introduction to the study of intelligence, mind and brain
from an interdisciplinary perspective, It encompasses the contemporary views of how the mind works,
the nature of reason, and how thought processes are reflected in the language we use, Central to the
course is the modern computational theory of mind and it specifies the underlying mechanisms through
which the brain processes language, thinks thoughts, and develops consciousness,
Course Contents;
Overview of Cognitive Science: Newell’s big question, Constituent disciplines, Interdisciplinary
approach, Unity and diversity of cognitive science,
Philosophy: Philosophy of Mind, Cartesian dualism Nativism vs, empiricism, Mind-body problem,
Functionalism, Turing Test, Modularity of mind, Consciousness, Phineas Gage, Physicalism.
Psychology: Behaviorism vs, cognitive psychology, The cognitive revolution in psychology,
Hardware/software distinction , Perception and psychophysics, Visual cognition, Temporal dynamics
of visual perception, Pattern recognition, David Marr’s computational theory of vision, Learning and
memory, Theories of learning, Multiple memory systems, Working Memory and Executive Control,
Memory span, Dissociations of short- and long-term memory, Baddeley’s working memory model.
Linguistics:Components of a grammar, Chomsky, Phrases and constituents, Productivity, Generative
grammars, Compositional syntax, Productivity by recursion, Surface- and deep structures, Referential
theory of meaning, Compositional semantics, Semantics, Language acquisition, Language and thought.
Neuroscience:
Brain anatomy, Hierarchical functional organization, Decorticate animals,
Neuroimaging, Neurophysiology,Neuron doctrine, Ion channels, Action potentials, Synaptic
transmission, Synaptic plasticity, Biological basis of learning, Brain damage, Amnesia, Aphasia,
Agnosia, Parallel Distributed Processing(PDP), Computational cognitive neuroscience, The appeal of
the PDP approach,Biological Basis of Learning, Cajal’s synaptic plasticity hypothesis, Long-term
potentiation (LTP) and depotentiation (LTD), NMDA receptors and their role in LTP, Synaptic
consolidation, Vertical integration,The Problem of representation, Shannon’s information theory.
Artificial Intelligence: Turing machines, Physical symbol systems, Symbols and Search
Connectionism, Machine Learning,, Weak versus strong AI, Subfields, applications, and recent trends
in AI, Turing Test revisited, SHRDLU, Heuristic search, General Problem Solver (GPS), Means-ends
analysis.
Cognitive architectures:Tripartite architecture, Integration, ACT-R Architecture Modularity.
Course Learning Outcomes (CLOs):
Upon completion of the course, the students will be able to:
1. Identify cognitive science as an interdisciplinary paradigm of study of cross-cutting areas such as
Philosophy, Psychology, Neuroscience, Linguistics, Anthropology, and Artificial Intelligence.
2. explain various processes of the mind such as memory and attention, as well as representational
and modelling techniques that are used to build computational models of mental processes;
3. acquire basic knowledge of neural networks, linguistic formalism, computing theory, and the
brain.
4. apply basic Artificial Intelligence techniques to solve simple problems.
11 | P a g e
Recommended Books:
1. Bermúdez, J.L., Cognitive Science: An Introduction to the Science of the Mind (2nd Ed,),
Cambridge, UK: Cambridge (2014).
2. Friedenberg ,J,D, and Silverman,G, Cognitive Science: An Introduction To The Study Of
Mind, Sage Publications:, London (2014)
3. Thagard,P., Mind: An introduction to Cognitive Science, MIT Press, (2005)
4. Thagard, P.,(1998) Mind Readings: Introductory Selections on Cognitive Science, MIT
Press, Cambridge, Mass,
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
12 | P a g e
UPH063 NANOSCIENCE AND NANOMATERIALS
L T P Cr
3 0 0 3.0
Course Objectives:
To introduce the basic concept of Nanoscience and advanced applications of nanotechnology,
Fundamental of Nanoscience: Features of Nanosystem, Free electron theory and its features, Idea of
band structures, Density of states in bands, Variation of density of state and band gap with size of
crystal,
Quantum Size Effect: Concepts of quantum effects, Schrodinger time independent and time dependent
equation, Electron confinement in one-dimensional well and three-dimensional infinite square well,
Idea of quantum well structure, Quantum dots and quantum wires,
Nano Materials: Classification of Nano Materials their properties, Basic concept relevant to
application, Fullerenes, Nanotubes and nano-wires, Thin films chemical sensors, Gas sensors, Vapour
sensors and Bio sensors,
Synthesis and processing: Sol-gel process, Cluster beam evaporation, Ion beam deposition, Chemical
bath deposition with capping techniques and ball milling, Cluster assembly and mechanical attrition,
Sputtering method, Thermal evaporation, Laser method,
Characterization: Determination of particle size, XRD technique, Photo luminescence, Electron
microscopy, Raman spectroscopy, STEM, AFM,
Applications: Photonic crystals, Smart materials, Fuel and solar cells, Opto-electronic devices
Course outcomes:
Upon completion of the course, Students will be able to
1. discriminate between bulk and nano materials,
2. establish the size and shape dependence of Materials’ properties,
3. correlate ‘quantum confinement’ and ‘quantum size effect’ with physical and chemical
properties of nanomaterials,
4. uses top-down and bottom-up methods to synthesize nanoparticles and control their size
and shape
5. characterize nanomaterials with various physico-chemical characterization tools and use
them in development of modern technologies
Recommended Books:
1.
2.
3.
4.
Booker, R., Boysen, E., Nanotechnology, Wiley India Pvt, Ltd, (2008)
Rogers, B., Pennathur, S., Adams, J., Nanotechnology, CRS Press (2007)
Bandyopadhyay, A,K., Nano Materials, New Age Int,, (2007)
Niemeyer, C. N., and Mirkin, C,A., Nanobiotechnology: Concepts, Applications and
Perspectives, Wiley VCH, Weinhein, Germany (2007)
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage (%)
45
55
13 | P a g e
UMA062 GRAPH THEORY AND APPLICATIONS
L T P Cr
3 0 0 3.0
Course Objective:
The objective of the course is to introduce students with the fundamental concepts in graph
Theory, with a sense of some its modern applications. They will be able to use these methods in
subsequent courses in the computer, electrical and other engineering,
Introduction: Graph, Finite and infinite graph, incidence and degree, Isolated vertex, Pendent
vertex and null graph, Isomorphism, Sub graph, Walks, Paths and circuits, Euler circuit and path,
Hamilton path and circuit, Euler formula, Homeomorphic graph, Bipartite graph, Edge
connectivity, Computer representation of graph, Digraph.
Tree and Fundamental Circuits: Tree, Distance and center in a tree, Binary tree, Spanning
tree, Finding all spanning tree of a graph, Minimum spanning tree.
Graph and Tree Algorithms: Shortest path algorithms, Shortest path between all pairs of
vertices, Depth first search and breadth first of a graph, Huffman coding, Cuts set and cut
vertices, Warshall’s algorithm, topological sorting.
Planar and Dual Graph: Planner graph, Kuratowski’s theorem, Representation of planar graph,
five-color theorem, Geometric dual.
Coloring of Graphs: Chromatic number, Vertex coloring, Edge coloring, Chromatic
partitioning, Chromatic polynomial, covering.
Application of Graphs and Trees:Konigsberg bridge problem, Utilities problem, Electrical
network problem, Seating problem, Chinese postman problem, Shortest path problem, Job
sequence problem, Travelling salesman problem, Ranking the participant in a tournament, Graph
in switching and coding theory, Time table and exam scheduling, Applications of tree and graph
in computer science.
Course Learning Outcomes:
Upon completion of the course, the students will be able to:
1) understand the basic concepts of graphs, directed graphs, and weighted graphs
and able to present a graph by matrices.
2) understand the properties of trees and able to find a minimal spanning tree for a
given weighted graph.
3) understand Eulerian and Hamiltonian graphs.
4) apply shortest path algorithm to solve Chinese Postman Problem .
5) apply the knowledge of graphs to solve the real life problem.
Recommended Books:
1. Deo, N., Graph Theory with Application to Engineering with Computer Science,
PHI, New Delhi (2007)
2. West, D. B., Introduction to Graph Theory, Pearson Education, London (2008)
3. Bondy, J. A. and Murty, U.S.R., Graph Theory with Applications, North Holland
Publication, London (2000)
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4. Rosen, K. H., Discrete Mathematics and its Applications, Tata-McGraw Hill,
New Delhi (2007)
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
15 | P a g e
UMA061 ADVANCED NUMERICAL METHODS
L
3
T
0
P
0
Cr
3.0
Course Objective:
The main objective of this course is to motivate the students to understand and learn various advanced
numerical techniques to solve mathematical problems governing various engineering and physical
problems.
Non-Linear Equations: Methods for multiple roots, Muller’s, Iteration and Newton-Raphson method
for non-linear system of equations and Newton-Raphson method for complex roots.
Polynomial Equations: Descartes’ rule of sign, Birge-vieta, Giraffe’s methods.
System of Linear Equations: Cholesky and Partition methods, SOR method with optimal relaxation
parameters.
Eigen-Values and Eigen-Vectors: Similarity transformations, Gerschgorin’s bound(s) on eigenvalues,
Given’s and Rutishauser methods.
Interpolation and Approximation: Cubic and B – Spline and bivariate interpolation, Least squares
approximations, Gram-Schmidt orthogonalisation process and approximation by orthogonal
polynomial, Legendre and Chebyshev polynomials and approximation.
Differentiation and Integration: Differentiation and integration using cubic splines, Romberg
integration and multiple integrals.
Ordinary differential Equations: Milne’s, Adams-Moulton and Adam’s Bashforth methods with their
convergence and stability, Shooting and finite difference methods for second order boundary value
problems.
Course Learning Outcomes:
Upon completion of this course, the students will be able to:
1) find multiple roots of equation and apply Newton -Raphson's method to obtain complex roots as
well solution of system of non - linear equations.
2) learn how to obtain numerical solution of polynomial equations using Birge - Vitae and Giraffe's
methods.
3) apply Cholesky, Partition and SOR methods to solve system of linear equations.
4) understand how to approximate the functions using Spline, B- Spline, least square .approximations
5) learn how to solve definite integrals by using cubic spline, Romberg and initial value problems
and boundary value problems numerically.
Recommended Books
1) Gerald, C.F. and Wheatley, P.O., Applied Numerical Analysis, Pearson Education (2008) 7thed.
2) Gupta, S.R., Elements of Numerical Analysis, MacMillan India (2009).
1) Atkinson, K.E., An introduction to Numerical Analysis, John Wiley (2004) 2nded.
2) S.D. Conte, S.D. and Carl D. Boor, Elementary Numerical Analysis: An Algorithmic Approach,
Tata McGraw Hill (2005).
3) Jain M. K., Iyengar. S.R.K. and Jain, R.K. Numerical Methods for Scientific and Engineering
Computation, New Age International (2008) 5thed.
Evaluation Scheme:
16 | P a g e
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
17 | P a g e
UBT509 BIOLOGY FOR ENGINEERS
L T P Cr
3 0 0 3.0
Course Objective: To learn about living world and basic functioning of biological systems. The course
encompasses understanding of origin of life, its evolution and some of its central characteristics. It also
aims to familiarize engineering students to some of the intricate biological phenomena and mechanisms.
Detailed Contents:
Characteristics of life: Living versus non-living organisms, origin of life, theory of evolution, diversity
of life, classification of life into animals, plants, fungi, protists, archea and bacteria. Phylogenetics and
its relationship with evolution.
Introduction to biological systems: Cell as basic unit of life, cellular organelles and their functions,
important biomacromolecules (carbohydrates, lipids, proteins and nucleic acids) and their properties.
Cell membrane: Membrane structure, selective permeability, transport across cell membrane, active
and passive transport, membrane proteins, type of transport proteins, channels and pumps, examples of
membrane transport in cell physiology.
Classical and molecular genetics: Heredity and laws of genetics, genetic material and genetic
information, Structure and properties of DNA, central dogma, replication of genetic information,
universal codon system, encoding of genetic information via transcription and translation.
Course Learning Outcomes (CLOs):
After completion of this course the students will be able to:
1.
2.
3.
4.
5.
Describe living-systems and differentiate them from non-living systems
Explain the theory of evolution and apply it non-living world
Apply properties of nucleic acids in molecular recognition based diagnostics
Familiarized with various transport mechanisms across cell membranes
Explain how genetic information is stored, replicated and encoded in living
organisms.
Recommended Books:
1. Nelson, D.L., Cox, M.M., Lehninger: Principles of Biochemistry, WH Freeman (2008)
5thed.
2. Dhami, P.S., Srivastava, H.N. Chopra, G., A Textbook of Biology, Pradeep Publications (2008).
3. Das, H.K., Textbook of Biotechnology, John Wiley & Sons (2004) 3rd Edition.
4. Gardner, E.J., Simmons, M., Peter, S.D., Principles of Genetics, John Wiley & Sons (2008)
5. Albert, B., Essential Cell Biology, Taylor & Francis, London (2009)
Evaluation Scheme:
Sr.
No.
1
2
Evaluation Elements
MST
EST
Weightage
(%)
45
55
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